Inverse function rule
id:
inverse-function-rule-239-12864453
title:
Inverse function rule
text:
In calculus, the inverse function rule is a formula that expresses the derivative of the inverse of a bijective and differentiable function f in terms of the derivative of f. More precisely, if the inverse of f is denoted as f − 1 , where f − 1 = x if and only if f = y , then the inverse function rule is, in Lagrange's notation, This formula holds in general whenever f is continuous and injective on an interval I, with f being differentiable at f − 1 ( ∈ I ) and where f ′ ≠ 0 . The same formula
brand slug:
wiki
category slug:
encyclopedia
description:
Calculus identity
original url:
https://en.wikipedia.org/wiki/Inverse_function_rule
date created:
date modified:
2023-06-07T17:15:52Z
main entity:
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image:
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fields total:
13
integrity:
15